Translation of Time-Reversal Violation in the Neutral K-Meson System into a Table-Top Mechanical System

TL;DR

This paper demonstrates a macroscopic mechanical analog using a Foucault pendulum to model and visualize time-reversal violation phenomena observed in neutral K-meson systems, providing an intuitive understanding of microscopic symmetry breaking.

Contribution

It introduces a novel mechanical system that fully represents K0 K0bar transitions and T violation, linking macroscopic pendulum dynamics to quantum symmetry violations.

Findings

Pendulum exhibits two oscillation frequencies and damping modes analogous to K-meson states.

Coriolis force in the pendulum mimics CPT symmetry effects and T violation.

The system visually demonstrates microscopic symmetry breaking phenomena.

Abstract

Weak interactions break time-reversal (T) symmetry in the two-state system of neutral K mesons. We present and discuss a two-state mechanical system, a Foucault-type pendulum on a rotating table, for a full representation of K0 K0bar transitions by the pendulum motions including T violation. The pendulum moves with two different oscillation frequencies and two different magnetic dampings. Its equation of motion is identical with the differential equation for the real part of the CPT-symmetric K-meson wave function. The pendulum is able to represent microscopic CP and T violation with CPT symmetry owing to the macroscopic Coriolis force which breaks the symmetry under reversal-of-motion. Video clips of the pendulum motions are shown as supplementary material.